The Natural Logarithm - Integrals involving the natural logarithm Example 2

If you have not seen example 1 please refer to it before proceeding.
Integrating the Natural Logarithm often involves substituting and rearranging the function in order to get it to resemble the form 1/x 

Usually 'u' substitution is used to do so.

http://en.wikipedia.org/wiki/Natural_logarithm#The_natural_logarithm_in_integration

http://en.wikipedia.org/wiki/Natural_logarithm#The_natural_logarithm_in_integration

Below are two separate problems that deal with integration of the logarithmic function.

Don't forget to add the constant at the end of every indefinite integral.
Double Click on Image to make it larger.